The DOI matches its Crossref record; 76 of the 78 references it cites were found in a registry or an index.
A Gromov-Hausdorff Framework with Diffusion Geometry for Topologically-Robust Non-rigid Shape Matching
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“In cases with large topological changes, the isometry assumption may fail [38]; handling such issues is a challenging task.”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [38]
In the citing paper
“Recent intrinsic techniques [36], [38], [39] use low dimensional embedding to by-pass the high-dimensionality problem by assuming a strong inelastic isometry constraint.”
From Registration of 3D Point Clouds and Meshes: A Survey from Rigid to Nonrigid (2013) · cites this paper as [38]
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Cites
A Method for Registration of 3-D Shapes
Besl, P., & Mckay, N. D. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.121791 · Cited by 22,163
A Global Geometric Framework for Nonlinear Dimensionality Reduction
Tenenbaum, J. B., Silva, V. D., & Langford, J. C. (2000) · Science · doi:10.1126/science.290.5500.2319 · Cited by 13,585
Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
Belkin, M., & Niyogi, P. (2003) · Neural Computation · doi:10.1162/089976603321780317 · Cited by 7,562
Chung, F. (1996) · Regional conference series in mathematics · doi:10.1090/cbms/092 · Cited by 5,918
Burago, D., Burago, Y., & Ivanov, S. (2001) · Graduate Studies in Mathematics · doi:10.1090/gsm/033 · Cited by 2,598
Eisenhart, L. P. (1950) · Princeton University Press eBooks · doi:10.1515/9781400884216 · Cited by 2,543
Coifman, R. R., & Lafon, S. (2006) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2006.04.006 · Cited by 2,380
Discrete Differential-Geometry Operators for Triangulated 2-Manifolds
Meyer, M., Desbrun, M., Schröder, P., & Barr, A. H. (2003) · Mathematics and visualization · doi:10.1007/978-3-662-05105-4_2 · Cited by 1,910
Osada, R., Funkhouser, T. A., Chazelle, B., & Dobkin, D. (2002) · ACM Transactions on Graphics · doi:10.1145/571647.571648 · Cited by 1,688
Coifman, R. R., Lafon, S., Lee, A. B., Maggioni, M., Nadler, B., Warner, F., & Zucker, S. W. (2005) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0500334102 · Cited by 1,675
Research works printed but not linked: 3
- Bronstein, A. M., Bronstein, M. M., & Kimmel, R. (2008). Numerical geometry of nonrigid shapes. Berlin: Springer.
- Lafon, S. (2004). Diffusion maps and geometric harmonics. Ph.D. dissertation, Yale University.
- Mémoli, F., Sapiro, G., & Thompson, P. (2006). Geometric surface and brain warping via geodesic minimizing Lipschitz extensions. In MFCA-2006 international workshop on mathematical foundations of computational anatomy, Copenhagen.
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A Concise and Provably Informative Multi‐Scale Signature Based on Heat Diffusion
Sun, J. Z., Ovsjanikov, M., & Guibas, L. J. (2009) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2009.01515.x · Cited by 1,466
Computational Optimal Transport
Gabriel Peyré, A., & Cuturi, M. (2019) · now publishers, Inc. eBooks · doi:10.1561/9781680835519 · Cited by 909
Bronstein, A. M., Bronstein, M. M., Guibas, L. J., & Ovsjanikov, M. (2011) · ACM Transactions on Graphics · doi:10.1145/1899404.1899405 · Cited by 811
Self-citationThe wave kernel signature: A quantum mechanical approach to shape analysis
Aubry, M., Schlickewei, U., & Cremers, D. (2011) · IEEE International Conference on Computer Vision Workshops · doi:10.1109/iccvw.2011.6130444 · Cited by 747
Scale-invariant heat kernel signatures for non-rigid shape recognition
Bronstein, M. M., & Kokkinos, I. (2010) · IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings - IEEE Computer Society Conference on Computer Vision and Pattern Recognition/Proceedings · doi:10.1109/cvpr.2010.5539838 · Cited by 690
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Metadata
- Authors
- Bronstein, A. M., Bronstein, M. M., Kimmel, R., Mahmoudi, M., & Sapiro, G.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- University of Minnesota (US)
- Corresponding author
- Sapiro, Guillermo
- Venue
- International Journal of Computer Vision
- Published
- 2009-10-08
- Volume
- 89
- Issue
- 2-3
- Pages
- 266-286
- ISSN
- 0920-5691 (ISSN-L)
- 1573-1405
- OpenAlex
- W1982465050
- Cited by
- 267
- References
- 78
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 6 · 2023: 4 · 2022: 5 · 2021: 10 · 2020: 12 · 2019: 16 · 2018: 19 · 2017: 22 · 2016: 17 · 2015: 18 · 2014: 27 · 2013: 30 · 2012: 31
- FWCI
- 25.28
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- www.springer.com/tdm (tdm)
- Locations
- International Journal of Computer Vision (publishedVersion)
- University of Minnesota Digital Conservancy (University of Minnesota) (submittedVersion)
- Funders
- National Institutes of Health
- Defense Advanced Research Projects Agency
- Topics
- Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › 3D Shape Modeling and Analysis
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Topological and Geometric Data Analysis
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- non-rigid shape matching, shape recognition, diffusion distance, Gromov-Hausdorff distance, metric geometry, topological robustness, geodesic distance, non-rigid deformation, missing data
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